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Simplifying -7 = 7(6q + 5) Reorder the terms: -7 = 7(5 + 6q) -7 = (5 * 7 + 6q * 7) -7 = (35 + 42q) Solving -7 = 35 + 42q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-42q' to each side of the equation. -7 + -42q = 35 + 42q + -42q Combine like terms: 42q + -42q = 0 -7 + -42q = 35 + 0 -7 + -42q = 35 Add '7' to each side of the equation. -7 + 7 + -42q = 35 + 7 Combine like terms: -7 + 7 = 0 0 + -42q = 35 + 7 -42q = 35 + 7 Combine like terms: 35 + 7 = 42 -42q = 42 Divide each side by '-42'. q = -1 Simplifying q = -1
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